Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods
Abstract In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteri...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
He, Cuiyu [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of scientific computing - Springer US, 1986, 81(2019), 3 vom: 02. Nov., Seite 2051-2079 |
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| Übergeordnetes Werk: |
volume:81 ; year:2019 ; number:3 ; day:02 ; month:11 ; pages:2051-2079 |
| Links: |
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| DOI / URN: |
10.1007/s10915-019-01071-5 |
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OLC2073324770 |
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| 520 | |a Abstract In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast. | ||
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10.1007/s10915-019-01071-5 doi (DE-627)OLC2073324770 (DE-He213)s10915-019-01071-5-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn He, Cuiyu verfasserin (orcid)0000-0003-1556-2682 aut Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast. Immersed finite element methods A posteriori error estimation Interface problems Residual-based Zhang, Xu aut Enthalten in Journal of scientific computing Springer US, 1986 81(2019), 3 vom: 02. Nov., Seite 2051-2079 (DE-627)129217549 (DE-600)56055-8 (DE-576)065121945 0885-7474 nnns volume:81 year:2019 number:3 day:02 month:11 pages:2051-2079 https://doi.org/10.1007/s10915-019-01071-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 81 2019 3 02 11 2051-2079 |
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10.1007/s10915-019-01071-5 doi (DE-627)OLC2073324770 (DE-He213)s10915-019-01071-5-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn He, Cuiyu verfasserin (orcid)0000-0003-1556-2682 aut Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast. Immersed finite element methods A posteriori error estimation Interface problems Residual-based Zhang, Xu aut Enthalten in Journal of scientific computing Springer US, 1986 81(2019), 3 vom: 02. Nov., Seite 2051-2079 (DE-627)129217549 (DE-600)56055-8 (DE-576)065121945 0885-7474 nnns volume:81 year:2019 number:3 day:02 month:11 pages:2051-2079 https://doi.org/10.1007/s10915-019-01071-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 81 2019 3 02 11 2051-2079 |
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10.1007/s10915-019-01071-5 doi (DE-627)OLC2073324770 (DE-He213)s10915-019-01071-5-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn He, Cuiyu verfasserin (orcid)0000-0003-1556-2682 aut Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast. Immersed finite element methods A posteriori error estimation Interface problems Residual-based Zhang, Xu aut Enthalten in Journal of scientific computing Springer US, 1986 81(2019), 3 vom: 02. Nov., Seite 2051-2079 (DE-627)129217549 (DE-600)56055-8 (DE-576)065121945 0885-7474 nnns volume:81 year:2019 number:3 day:02 month:11 pages:2051-2079 https://doi.org/10.1007/s10915-019-01071-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 81 2019 3 02 11 2051-2079 |
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Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods |
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Abstract In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast. © The Author(s) 2019 |
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Abstract In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast. © The Author(s) 2019 |
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Abstract In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast. © The Author(s) 2019 |
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The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Immersed finite element methods</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">A posteriori error estimation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interface problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Residual-based</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Xu</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of scientific computing</subfield><subfield code="d">Springer US, 1986</subfield><subfield code="g">81(2019), 3 vom: 02. 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